![multibeastpr](/avatars/8268.jpg)
multibeastpr
16.02.2021 •
Mathematics
Suppose cos(x)=-1/3, where pi/2≤x≤ pi. What is the value of tan(2x)?
Solved
Show answers
More tips
- F Family and Home How to Teach Your Child to Speak: Tips and Recommendations...
- P Philosophy Agnosticism: Opinion or Belief?...
- S Style and Beauty How to choose the best mascara for your eyelashes...
- F Food and Cooking Discover Delicious Recipes You Can Make with Ground Meat...
- C Computers and Internet Google Search Tips and Tricks: Everything You Need to Know...
- S Science and Technology Why is there no gravity on other planets?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
Answers on questions: Mathematics
- M Mathematics Emma scored 4 points more than twice number of points teagan scored. emma scored 3 points. how many did teagan score...
- M Mathematics How many possible outcomes exist when two fair coins are flipped and a three-section spinner is spun?...
- M Mathematics Picking a multiple of 5 from the integers between 1 and 40...
- M Mathematics Andrew is given a weekly allowance of $17.50 he uses $4.50 for lunch on monday what amount at the most can he spend each day if he wants to spend the same amount each of the remaining...
- M Mathematics Sally’s mud mask cost $23 for a 0.45 once jar. she found the same mud mask online for $72. what size is the jar online? round to the nearest tenth...
- M Mathematics What is the value of the expression, written in standard form? (6.6x10^-2)/(3.3x10^-4)...
- M Mathematics There are 16 students in the school play. one fourth of the students are wearing yellow costumes. six students are wearing purple costumes. the remaining students are wearing...
- M Mathematics Asingles tennis court is a rectangle 27 feet wide and 78 feet long. suppose a player at corner a hits the ball to her opponent in the diagonally opposite corner b. approximately...
- M Mathematics Iam a odd number less than 100 and a multiple of 15.the sum of my digits is 12.what number am i....
- M Mathematics What is the mathematical definition of the subtraction property of equality?...
Ответ:
4√2/7
Step-by-step explanation:
Suppose cos(x)=-1/3, where pi/2≤x≤ pi
tan(2x) = sin(2x)/cos(2x)
Since sin2x = 2sinx cosx
cos 2x = 2cos²x-1
Substitute
tan(2x) = 2sinx cosx/ 2cos²x-1
Given cosx = -1/3
adjacent = -1
hyp = 3
opp = √3²-(-1)²
opp = √9-1
opp = √8
sinx = opp/hyp
sinx = √8/3
tan(2x) = 2sinx cosx/ 2cos²x-1
tan(2x) = 2(√8/3)(-1/3)/ 2(-1/3)²-1
tan2x= (-2√8/9 )÷ (2/9 - 1)
tan2x = -4√2/9 * 9/-7
tan 2x = 4√2/7
Ответ:
B. 25,636
Step-by-step explanation:
In this example we will us the sin.
sin55=21000/x
multiply both sides by x
sin55(x)=21000
the sin of 55 degrees is around 0.81915 so we can substitute that number
0.81915x=21000
divide both sides by 0.81915
x≈25636.3303424
we can then round this number to get:
answer choice B 25636